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Spontaneous collapse models offer a solution to quantum measurement problems. Numerical simulations show collapse times depend on detector number and photon-detector superposition properties in Ghirardi-Rimini-Weber (GRW) theory.

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Area of Science:

  • Quantum Mechanics
  • Foundations of Physics

Background:

  • The quantum measurement problem remains a fundamental challenge.
  • Spontaneous collapse models, like the Ghirardi-Rimini-Weber (GRW) theory, propose a mechanism for state vector reduction.
  • Continuous localization models describe these collapses as Brownian motion in Hilbert space.

Purpose of the Study:

  • To investigate the Ghirardi-Rimini-Weber (GRW) spontaneous collapse model.
  • To numerically study the dynamics of state vector reduction in a single-photon beam splitter experiment.
  • To analyze the influence of physical superposition features and detector reaction times on collapse dynamics.

Main Methods:

  • Numerical simulation of a single photon interacting with a beam splitter and detectors.
  • Modeling collapse dynamics using continuous localization models (Brownian motion in Hilbert space).
  • Varying parameters such as the number of detectors and properties of the photon-detector quantum state superposition.

Main Results:

  • Collapse times are found to be sensitive to the number of photon detectors used.
  • The physical characteristics of the photon-detector quantum state superposition significantly affect collapse dynamics.
  • The finite reaction time of the measuring apparatus was incorporated and its effect analyzed.

Conclusions:

  • The study provides numerical insights into spontaneous collapse models.
  • Experimental setups involving photon detection are crucial for probing collapse dynamics.
  • Findings highlight the dependence of quantum collapse on macroscopic measurement apparatus properties.